(3x-4)^2-6x=7(1-x)(1+x)

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Solution for (3x-4)^2-6x=7(1-x)(1+x) equation:



(3x-4)^2-6x=7(1-x)(1+x)
We move all terms to the left:
(3x-4)^2-6x-(7(1-x)(1+x))=0
We add all the numbers together, and all the variables
(3x-4)^2-6x-(7(-1x+1)(x+1))=0
We add all the numbers together, and all the variables
-6x+(3x-4)^2-(7(-1x+1)(x+1))=0
We multiply parentheses ..
-(7(-1x^2-1x+x+1))-6x+(3x-4)^2=0
We calculate terms in parentheses: -(7(-1x^2-1x+x+1)), so:
7(-1x^2-1x+x+1)
We multiply parentheses
-7x^2-7x+7x+7
We add all the numbers together, and all the variables
-7x^2+7
Back to the equation:
-(-7x^2+7)
We get rid of parentheses
7x^2-6x+(3x-4)^2-7=0
We move all terms containing x to the left, all other terms to the right
7x^2-6x+(3x-4)^2=7

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